Isometries of Minkowski geometries

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• 作者：Á ; kos G. Horvá ; th ^{ghorvath@math.bme.hu" class="auth_mail" title="E-mail the corresponding author}
• 关键词：47A65 ; 47B99 ; 52A10 ; 52A21
• 刊名：Linear Algebra and its Applications
• 出版年：2017
• 出版时间：1 January 2017
• 年：2017
• 卷：512
• 期：Complete
• 页码：172-190
• 全文大小：417 K

文摘

In this paper we review the known facts on isometries of Minkowski geometries and prove some new results on them. We give the normal forms of two special classes of operators and also characterize the isometry group of Minkowski 3-spaces in which the unit sphere does not contain an ellipse.